First, I don't think I'd worry with it. Must say, I liked it when I was able to have the whole marker circuit lit by tapping into one spot. Tag, even the dashboard, lit up. Back then I tapped into the turn signal lights, so it flashed front and rear. No more...too modern...
If you're isolating individual lamps, I'd say work that till it works. Get Stop/Turn/Tail going like they should. Then investigate another diode to isolate the tag light(s). Should be able to then connect tag to one of the tail circuits. In my mind's eye, it'd be: Isolate Left (or Right) Tail Light. Connection branches from output of isolation diode to: Tail Light, AND Isolated Tag Light. Would need to see cars' wiring diagram and draw in the isolation.
Now that I don't tap into the full circuits anymore, I've simply added separate, dedicated, LED Stop/Turn/Tail lamps, and they don't light the Tags.
If God's Your Co-Pilot Move Over, jd
2003 Jayco Escapade 31A on 2002 Ford E450 V10 4R100 218" WB